Construction of symmetric Green's functions for a class of hyperbolic boundary-value problems
Thesis/Dissertation
·
OSTI ID:6984740
Problems associated with a hyperbolic partial differential operator are usually posed as initial-value problems. However, it is possible to view a certain class of problems as boundary-value problems, and thus make use of the techniques generally reserved for problems associated with elliptic operators. In the process, some additional characteristic boundary conditions are introduced, in order to guarantee a unique solution. In this paper, certain classes of problems are studied on a characteristic triangle domain. The criteria for the existence of a Green's function are established, and some additional conditions are derived. Then the Green's functions for several examples are constructed by following the prescribed method, and the method is analyzed to determine the most general type of problem to which it can be extended. The method is then seen to be generalizable to problems with a different domain. The paper closes with some suggestions for areas that require further study.
- Research Organization:
- California Univ., Davis (USA)
- OSTI ID:
- 6984740
- Country of Publication:
- United States
- Language:
- English
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